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James Chen TMUA Paper 1 · Q4

Paper 1Logic & proofGeometry

A circle in the x-y plane has radius rr, perimeter PP, and area AA. Which of these statements is true?

Ar>2r>2 is a necessary but not sufficient condition for P<AP<A
Br>0r>0 is a necessary and sufficient condition for P<AP<A
C0<r<20<r<2 is a sufficient but not necessary condition for P>AP>A
Dr>2r>2 is a necessary and sufficient condition for P>AP>A
E0<r<20<r<2 is a necessary and sufficient condition for P<AP<A
Fr>2r>2 is a sufficient but not necessary condition for P<AP<A
G0<r<20<r<2 is a necessary and sufficient condition for P>AP>A

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